Search a number
-
+
1136244240 = 243353171239
BaseRepresentation
bin100001110111001…
…1011011000010000
32221012001012002000
41003232123120100
54311334303430
6304425354000
740104626265
oct10356333020
92835035060
101136244240
1153342012a
12278638900
13151530b91
14aac9526c
1569b44e60
hex43b9b610

1136244240 has 320 divisors, whose sum is σ = 4114022400. Its totient is φ = 287884800.

The previous prime is 1136244233. The next prime is 1136244247. The reversal of 1136244240 is 424426311.

It is a happy number.

1136244240 is a `hidden beast` number, since 1 + 13 + 624 + 4 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1136244233) and next prime (1136244247).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136244247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4754041 + ... + 4754279.

It is an arithmetic number, because the mean of its divisors is an integer number (12856320).

Almost surely, 21136244240 is an apocalyptic number.

1136244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057011200).

1136244240 is an abundant number, since it is smaller than the sum of its proper divisors (2977778160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1136244240 is a wasteful number, since it uses less digits than its factorization.

1136244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1136244240 is about 33708.2221423794. Note that the first 3 decimals coincide. The cubic root of 1136244240 is about 1043.4954623795.

The spelling of 1136244240 in words is "one billion, one hundred thirty-six million, two hundred forty-four thousand, two hundred forty".